Correlations In Low Dimensional Quantum Gases

Author : Guillaume Lang
Publisher : Springer
ISBN 13 : 3030052850
Total Pages : 193 pages
Book Rating : 4.50/5 ( download)

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Download or read book Correlations in Low-Dimensional Quantum Gases written by Guillaume Lang and published by Springer. This book was released on 2018-12-29 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses several aspects of thermodynamics and correlations in the strongly-interacting regime of one-dimensional bosons, a topic at the forefront of current theoretical and experimental studies. Strongly correlated systems of one-dimensional bosons have a long history of theoretical study. Their experimental realisation in ultracold atom experiments is the subject of current research, which took off in the early 2000s. Yet these experiments raise new theoretical questions, just begging to be answered. Correlation functions are readily available for experimental measurements. In this book, they are tackled by means of sophisticated theoretical methods developed in condensed matter physics and mathematical physics, such as bosonization, the Bethe Ansatz and conformal field theory. Readers are introduced to these techniques, which are subsequently used to investigate many-body static and dynamical correlation functions.

Author : Igor V. Lerner
Publisher : Springer Science & Business Media
ISBN 13 : 9401005303
Total Pages : 405 pages
Book Rating : 4.02/5 ( download)

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Download or read book Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems written by Igor V. Lerner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.

Author : Nick Proukakis
Publisher : World Scientific
ISBN 13 : 1848168128
Total Pages : 579 pages
Book Rating : 4.21/5 ( download)

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Download or read book Quantum Gases written by Nick Proukakis and published by World Scientific. This book was released on 2013 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics.

Author : Ghassan George Batrouni
Publisher : Springer Science & Business Media
ISBN 13 : 9780735403093
Total Pages : 340 pages
Book Rating : 4.90/5 ( download)

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Download or read book Effective Models for Low-Dimensional Strongly Correlated Systems written by Ghassan George Batrouni and published by Springer Science & Business Media. This book was released on 2006-02-23 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings cover the most recent developments in the fields of high temperature superconductivity, magnetic materials and cold atoms in traps. Special emphasis is given to recently developed numerical and analytical methods, such as effective model Hamiltonians, density matrix renormalization group as well as quantum Monte Carlo simulations. Several of the contributions are written by the pioneers of these methods.

Author : Fabio Franchini
Publisher : Springer
ISBN 13 : 3319484877
Total Pages : 180 pages
Book Rating : 4.77/5 ( download)

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Download or read book An Introduction to Integrable Techniques for One-Dimensional Quantum Systems written by Fabio Franchini and published by Springer. This book was released on 2017-05-25 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.

Author : Manuel Endres
Publisher : Springer Science & Business
ISBN 13 : 3319057537
Total Pages : 176 pages
Book Rating : 4.38/5 ( download)

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Download or read book Probing Correlated Quantum Many-Body Systems at the Single-Particle Level written by Manuel Endres and published by Springer Science & Business. This book was released on 2014-04-26 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: How much knowledge can we gain about a physical system and to what degree can we control it? In quantum optical systems, such as ion traps or neutral atoms in cavities, single particles and their correlations can now be probed in a way that is fundamentally limited only by the laws of quantum mechanics. In contrast, quantum many-body systems pose entirely new challenges due to the enormous number of microscopic parameters and their small length- and short time-scales. This thesis describes a new approach to probing quantum many-body systems at the level of individual particles: Using high-resolution, single-particle-resolved imaging and manipulation of strongly correlated atoms, single atoms can be detected and manipulated due to the large length and time-scales and the precise control of internal degrees of freedom. Such techniques lay stepping stones for the experimental exploration of new quantum many-body phenomena and applications thereof, such as quantum simulation and quantum information, through the design of systems at the microscopic scale and the measurement of previously inaccessible observables.

Author : Laurens Vanderstraeten
Publisher : Springer
ISBN 13 : 3319641913
Total Pages : 219 pages
Book Rating : 4.11/5 ( download)

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Download or read book Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems written by Laurens Vanderstraeten and published by Springer. This book was released on 2017-08-10 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Author : Ludovic Pricoupenko
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.46/5 ( download)

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Download or read book Quantum Gases in Low Dimensions written by Ludovic Pricoupenko and published by . This book was released on 2004 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Tim Langen
Publisher : Springer
ISBN 13 : 3319185640
Total Pages : 154 pages
Book Rating : 4.44/5 ( download)

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Download or read book Non-equilibrium Dynamics of One-Dimensional Bose Gases written by Tim Langen and published by Springer. This book was released on 2015-05-22 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence of thermal correlations and the observation of generalized thermodynamic ensembles. This points to a natural emergence of classical statistical properties from the microscopic unitary quantum evolution, and lays the groundwork for a universal framework of non-equilibrium physics. The thesis investigates a central question that is highly contested in quantum physics: how and to which extent does an isolated quantum many-body system relax? This question arises in many diverse areas of physics, and many of the open problems appear at vastly different energy, time and length scales, ranging from high-energy physics and cosmology to condensed matter and quantum information. A key challenge in attempting to answer this question is the scarcity of quantum many-body systems that are both well isolated from the environment and accessible for experimental study.

Author : Torma Paivi
Publisher : World Scientific
ISBN 13 : 1783264772
Total Pages : 340 pages
Book Rating : 4.73/5 ( download)

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Download or read book Quantum Gas Experiments: Exploring Many-body States written by Torma Paivi and published by World Scientific. This book was released on 2014-09-16 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phenomena of many-particle systems are fascinating in their complexity and are consequently not fully understood and largely untapped in terms of practical applications. Ultracold gases provide a unique platform to build up model systems of quantum many-body physics with highly controlled microscopic constituents. In this way, many-body quantum phenomena can be investigated with an unprecedented level of precision, and control and models that cannot be solved with present day computers may be studied using ultracold gases as a quantum simulator.This book addresses the need for a comprehensive description of the most important advanced experimental methods and techniques that have been developed along with the theoretical framework in a clear and applicable format. The focus is on methods that are especially crucial in probing and understanding the many-body nature of the quantum phenomena in ultracold gases and most topics are covered both from a theoretical and experimental viewpoint, with interrelated chapters written by experts from both sides of research.Graduate students and post-doctoral researches working on ultracold gases will benefit from this book, as well as researchers from other fields who wish to gain an overview of the recent fascinating developments in this very dynamically evolving field. Sufficient level of both detailed high level research and a pedagogical approach is maintained throughout the book so as to be of value to those entering the field as well as advanced researchers. Furthermore, both experimentalists and theorists will benefit from the book; close collaboration between the two are continuously driving the field to a very high level and will be strengthened to continue the important progress yet to be made in the field.